GCF of 3759/262, 2352/1177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3759/262, 2352/1177 i.e 21/308374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3759/262, 2352/1177.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3759/262,2352/1177?
Given fractions are 3759/262,2352/1177
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3759/262,2352/1177, numerators are 3759,2352
Denominators are 262,1177
The GCF of 3759,2352 is 21 .
LCM of 262,1177 is 308374.
The greatest common factor of 3759/262,2352/1177 = [GCF of 3759,2352]/[LCM of 262,1177]= 21/308374
Therefore, the GCF of 3759/262,2352/1177 is 21/308374.
To find the highest common factor of 3759,2352, we have to find the factors of both numbers and list the highest common factor.
The factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The HCF of 3759,2352 is 21.
Lets's calculate GCF of 3759,2352
| 3 | 3759, 2352 |
| 7 | 1253, 784 |
| 179, 112 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 3759,2352 By Matching Biggest Common Factor Method
Now, list down the factors of 3759
:1,3,7,21,179,537,1253,3759
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Greatest Common Factor
We found the factors 3759,2352 . The biggest common factor number is the GCF number.
So the greatest common factor 3759,2352 is 21.
Lets's calculate LCM of 262,1177
Given numbers has no common factors except 1. So, there LCM is their product i.e 308374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/308374
Therefore, the GCF of Fractions 3759/262,2352/1177 is 21/308374
Least Common Multiple of 262,1177 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 262,1177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,1177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,1177) x common factors =1 x 1 = 1
LCM(262,1177) = ( 262 × 1177 ) / 1
LCM(262,1177) = 308374 / 1
LCM(262,1177) = 308374
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FAQs on GCF of Fractions of 3759/262, 2352/1177
1. What is the HCF of 3759,2352?
The HCF of 3759,2352 is 21
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3759/262, 2352/1177?
Answer: GCF of Numerators as per given numbers 3759/262, 2352/1177 is
GCF of Numerators i.e. for 3759,2352 is 21
LCM of denominators i.e. for 262,1177 is 308374.
Thus, GCF of Fractions is 21/308374.Finally, GCF of Fractions for 3759/262, 2352/1177 is 21/308374.